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Summer Slide: Middle School Geometry and Tessellating the Plane
Class experience
US Grade 6 - 8
Follows Teacher-Created Curriculum
Aligned with Common Core State Standards (CCSS)
The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs. In this camp we will explore tessellations as a way to review geometry basics and...
3 lessons//1 Week
Week 1Lesson 1Tessellations of the PlaneWe will be introduced to tessellations of the plane and apply middle school geometry concepts in a mathematical context beginning with general tessellations.Lesson 2Regular TessellationsWe will understand regular tessellations and use repeated reasoning to understand which polygons are able to regularly tessellate a plane.Lesson 3Tessellating PolygonWe will work with non-regular tessellations involving polygons and develop proofs to understand which non-regular polygons can and can not tessellate the plane.
Students will Create and describe patterns with specific polygons that fill the plane. Make regular tessellations Make tessellations with different polygons 8.G.A Understand congruence and similarity using physical models, transparencies, or geometry software.
Professional Experience: I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning. Academic Experience: Constructivism and Mathematics, Science, and Technology Education This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions. Math 1410 Numbers, Concepts, and Algebra for Math Teachers This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators. Math 1420: Logic, Problems, and Geometry for Math Teachers This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens.
This class is designed by an AUDHD/Dyspraxic Educator - slides and fonts designed to support dyslexia and visual processing - ability to type and use virtual drawing tools - communication aids including chat - ND Affirming classroom
Students should have good content mastery over middle school math standards and be familiar with middle school geometry ideas and vocabulary.
Learners will need a pencil, straight edge, and paper. They may benefit from tracing paper or color pencils.
In addition to the Outschool classroom, this class uses:
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/ Pedagological Resources: Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham. Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7. Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
Hello, I have thirteen years of experience in education. As an eclectic academic learner, I had lots of opportunities to benefit others with my unique understanding and gifted perspective as a twice exceptional learner. I hold a master’s degree in...
Group Class
$48
for 3 classes3x per week, 1 week
45 min
Completed by 3 learners
Live video meetings
Ages: 11-14
3-6 learners per class